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230066980 = 2251121371103
BaseRepresentation
bin11011011011010…
…00101100100100
3121000220121120021
431231220230210
5432344120410
634455044524
75462352133
oct1555505444
9530817507
10230066980
11108959800
1265070744
1338883910
14227ab91a
15152e7eda
hexdb68b24

230066980 has 144 divisors (see below), whose sum is σ = 585591552. Its totient is φ = 75398400.

The previous prime is 230066971. The next prime is 230066989. The reversal of 230066980 is 89660032.

It is a happy number.

230066980 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230066971) and next prime (230066989).

It is not an unprimeable number, because it can be changed into a prime (230066989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2233609 + ... + 2233711.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2230066980 is an apocalyptic number.

230066980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230066980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

230066980 is an abundant number, since it is smaller than the sum of its proper divisors (355524572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230066980 is a wasteful number, since it uses less digits than its factorization.

230066980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 230066980 is about 15167.9589925606. The cubic root of 230066980 is about 612.7520373274.

The spelling of 230066980 in words is "two hundred thirty million, sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 103 110 121 130 142 143 206 220 242 260 284 286 355 412 484 515 572 605 710 715 781 923 1030 1133 1210 1339 1420 1430 1562 1573 1846 2060 2266 2420 2678 2860 3124 3146 3692 3905 4532 4615 5356 5665 6292 6695 7313 7810 7865 8591 9230 10153 11330 12463 13390 14626 14729 15620 15730 17182 18460 20306 22660 24926 26780 29252 29458 31460 34364 36565 40612 42955 49852 50765 58916 62315 73130 73645 80443 85910 95069 101530 111683 124630 146260 147290 160886 162019 171820 190138 203060 223366 249260 294580 321772 324038 380276 402215 446732 475345 558415 648076 804430 810095 884873 950690 1045759 1116830 1608860 1620190 1769746 1901380 2091518 2233660 3240380 3539492 4183036 4424365 5228795 8848730 10457590 11503349 17697460 20915180 23006698 46013396 57516745 115033490 230066980